Abstract
A theoretical investigation of radiation field produced by a charge moving through the dielectric concentrator for Cherenkov radiation is performed for the general case where a charge trajectory is shifted with respect to the target axis. The idea of dielectric target with specific profile of the outer surface was presented and investigated in our previous papers for the symmetric case. Here we show how non-symmetric field components generated in the bulk of target affect field distribution near the focus where strong concentration of the energy occurs. Possible applications of this target are discussed. This version also contains corrections (Appendix C) made after publication.
Highlights
Uniform movement of a charged particle in a dielectric medium with velocity exceeding the speed of light in this medium is accompanied by Cherenkov radiation (CR) discovered in 1937 [1] and theoretically interpreted the same year [2,3]
Since that time this effect is widely used in various areas of physics [3,4] including relatively novel medical applications based on CR in biological tissues [5]
The point charge moving along the axis of the structure with the velocity υ 1⁄4 βc generates Cherenkov radiation inside the target with the corresppoffiffinding rays being directed at the angle α 1⁄4 arcsin1⁄21=ð εβÞ with respect to vertical direction, these rays are shown in RADIATION OF A CHARGE IN DIELECTRIC
Summary
Uniform movement of a charged particle in a dielectric medium with velocity exceeding the speed of light in this medium is accompanied by Cherenkov radiation (CR) discovered in 1937 [1] and theoretically interpreted the same year [2,3]. A prismatic dielectric target was used in a series of experiments [12,13] where prominent possibilities to use this scheme for beam position monitoring for high-energy electron and hadron beams were demonstrated Both mentioned prismatic target and hollow conical target can be a powerful source of radiation, including THz range [14,15,16]. Concerning the topic of the present paper, the discussed approach was utilized to find the outer profile of the axisymmetric dielectric target concentrating the majority of generated CR in a small vicinity of a predetermined focus point without any additional lenses or mirrors [25] This target was called “dielectric concentrator for CR” and was investigated in details for symmetric case (charge movement along the target symmetry axis), including the study of sensitivity with respect to the charge velocity [29,30].
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